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111133300221 = 3257721400597
BaseRepresentation
bin110011110000000001…
…1111001010111111101
3101121212001220121000100
41213200003321113331
53310100111101341
6123015352151313
711012662315506
oct1474003712775
9347761817010
10111133300221
114314993a369
1219656398539
13a631239a58
14554390dbad
152d5685a3b6
hex19e00f95fd

111133300221 has 12 divisors (see below), whose sum is σ = 160804093372. Its totient is φ = 73960459776.

The previous prime is 111133300151. The next prime is 111133300231. The reversal of 111133300221 is 122003331111.

111133300221 is a `hidden beast` number, since 1 + 1 + 113 + 330 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93975968025 + 17157332196 = 306555^2 + 130986^2 .

It is not a de Polignac number, because 111133300221 - 29 = 111133299709 is a prime.

It is a super-2 number, since 2×1111333002212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111133300194 and 111133300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111133300231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10695106 + ... + 10705491.

Almost surely, 2111133300221 is an apocalyptic number.

It is an amenable number.

111133300221 is a deficient number, since it is larger than the sum of its proper divisors (49670793151).

111133300221 is a wasteful number, since it uses less digits than its factorization.

111133300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21401180 (or 21401177 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111133300221 its reverse (122003331111), we get a palindrome (233136631332).

The spelling of 111133300221 in words is "one hundred eleven billion, one hundred thirty-three million, three hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 577 1731 5193 21400597 64201791 192605373 12348144469 37044433407 111133300221